University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Section 11.3 - The Dot Product - Exercises - Page 617: 39

Answer

$-2x+y=0$

Work Step by Step

The result of exercise 32 tells us that ${\bf v}=\langle a,\ b \rangle$ is parallel to the lines $bx-ay=c$ Here, ${\bf v}=\langle -1,\ -2\rangle$ and the lines are $-2x+y=c.$ Since $P(1,2)$ is on the line, its coordinates satisfy the line equation $\left\{\begin{array}{l} -2(1)+(2)=c\\ c=0 \end{array}\right.$ So the line equation is: $\quad -2x+y=0$ To graph the line, use the given point and $(0,0).$
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